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A novel approach for static anti-windup compensation of one-sided Lipschitz systems under input saturation

Author

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  • Hussain, Muntazir
  • Rehan, Muhammad
  • Ahmed, Shakeel
  • Abbas, Tanveer
  • Tufail, Muhammad

Abstract

This paper illustrates a new strategy for designing the local static anti-windup (AW) compensator for nonlinear systems with one-sided Lipschitz (OSL) nonlinearities under saturating actuators and exogenous disturbances. The static AW strategy is designed such that the resulting closed-loop system with OSL nonlinearity, actuator saturation, and exogenous disturbance is stable and the region of attraction can be maximized. Inequalities based conditions are formulated for the static AW gain design by using Lyapunov stability theory, sector condition, L2 gain reduction, OSL inequality, and quadratic inner-bounded (QIB) condition. The proposed AW technique is simpler to design, straightforward to implement and deals with a broader class of systems in contrast to conventional methods. An application example demonstrates that the proposed static AW can successfully mitigate the saturation consequences in OSL nonlinear systems.

Suggested Citation

  • Hussain, Muntazir & Rehan, Muhammad & Ahmed, Shakeel & Abbas, Tanveer & Tufail, Muhammad, 2020. "A novel approach for static anti-windup compensation of one-sided Lipschitz systems under input saturation," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    • Handle: RePEc:eee:apmaco:v:380:y:2020:i:c:s0096300320301983
    DOI: 10.1016/j.amc.2020.125229
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    References listed on IDEAS

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    1. Nguyen, Cuong M. & Pathirana, Pubudu N. & Trinh, Hieu, 2019. "Robust observer and observer-based control designs for discrete one-sided Lipschitz systems subject to uncertainties and disturbances," Applied Mathematics and Computation, Elsevier, vol. 353(C), pages 42-53.
    2. Liu, Wenhui & Lu, Junwei & Xu, Shengyuan & Li, Yongmin & Zhang, Zhengqiang, 2019. "Sampled-data controller design and stability analysis for nonlinear systems with input saturation and disturbances," Applied Mathematics and Computation, Elsevier, vol. 360(C), pages 14-27.
    3. Qi, Wenhai & Kao, Yonggui & Gao, Xianwen & Wei, Yunliang, 2018. "Controller design for time-delay system with stochastic disturbance and actuator saturation via a new criterion," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 535-546.
    4. Ma, Yuechao & Jia, Xiaorui & Liu, Deyou, 2016. "Robust finite-time H∞ control for discrete-time singular Markovian jump systems with time-varying delay and actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 286(C), pages 213-227.
    5. Xu, Tianbo & Gao, Xianwen & Qi, Wenhai & Wei, Yunliang, 2019. "Disturbance-observer-based control for semi-Markovian jump systems with generally uncertain transition rate and saturation nonlinearity," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    6. Shaheen, Bilal & Nazir, Muhammad Shahid & Rehan, Muhammad & Ahmad, Sohaira, 2020. "Robust generalized observer design for uncertain one-sided Lipschitz systems," Applied Mathematics and Computation, Elsevier, vol. 365(C).
    7. Yang, Yuxia & Lin, Chong & Chen, Bing & Wang, Qing-Guo, 2018. "Reduced-order observer design for a class of generalized Lipschitz nonlinear systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 267-280.
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    Cited by:

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    2. Yang, Gengjiao, 2024. "The positivity and event-triggered stabilization of Takagi-Sugeno fuzzy systems with actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 473(C).

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    More about this item

    Keywords

    Nonlinear systems; Static anti-windup (AW) compensator; One-sided Lipschitz nonlinearity; Actuator saturation; L2 gain;
    All these keywords.

    JEL classification:

    • L2 - Industrial Organization - - Firm Objectives, Organization, and Behavior

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